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Finding the Fourth Proportional to 136.46, 205.42 and 107.74

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Solution

The fourth proportional to 136.46, 205.42 and 107.74 is: 162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.46 : 205.42 = 107.74 : x
  2. Step 2: Convert to fraction form
    136.46/205.42 = 107.74/x
  3. Step 3: Cross multiply
    136.46x = 205.42 × 107.74
  4. Step 4: Simplify right side
    136.46x = 22,131.95
  5. Step 5: Solve for x
    x = 22,131.95/136.46
  6. Step 6: Final answer
    x = 162.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.